# Fractions on Line Plots

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Fractions on Line Plots
CCSS.MATH.CONTENT.4.MD.B.4

## Line Plots with Fractions

Line plots with fractions are a type of graph that shows data on a fractional number line. There are x’s created above the line to indicate the frequency of each unit of data.

## Line Plots with Fractions – Example

In this example, we want to look at how much snow fell on different days. We have given data and the question is “What was the least amount of snow accumulated in a day?” With the help of using line plots, we can answer questions about the data.

Our line does not indicate the fraction for the day with the least amount of snow, so we need to count how many increments the line is divided into. The line plot is divided into eighths, so the denominator of our fraction will be 8. Our date is on the first increment on the line plot. The position of the increment is the numerator of the fraction we want to find out. Combining our data, we see that numerator 1 and denominator 8 are the fraction $\frac{1}{8}$, so the least amount of snow fallen in a day is $\frac{1}{8}$ feet!

If the question now commands us to find the greatest amount of snowfall accumulated in a day, we look at our line plot again and search for the rightmost entry on the line.

Using our counted increments from earlier, we see that the greatest amount of snowfall in a day accumulated up to $\frac{7}{8}$ feet of snow!

## Line Plots with Fractions – Summary of Steps

Step # What to do
1 Look at the data on the line plot to understand
what you need to find.
2 If the line does not indicate the fraction you
are looking for, count the number of increments
on the line plot.
3 The number of increments total is the denominator
and the specific increment is the numerator

## Line Plots with Fractions – Further Practice

Now it’s your turn! What is the difference in the amounts of snow between the greatest and the least?

There will be additional activities with line plots with fractions worksheets and exercises. These line plots with fractions 4th-grade worksheets will provide you with continued practice using line plots to record data and answer questions about the fractional data.

### TranscriptFractions on Line Plots

"I'm telling ya, Gus, pretty soon EVERYTHING is going to be covered with SNOW!" If that's true, WHY have I never seen it? I'll prove it you'll see! "Ok, you do that." Let's help Nari keep track of the snowfall data and answer questions with the information using... "Fractions on a Line Plot". A line plot is a type of graph that we use to organize and answer questions about data collected. Here is the line plot of the snowfall accumulation that Nari recorded. Using this line plot we can answer questions about the snowfall. In order to answer correctly, we read the questions carefully and identify keywords that tell us what to look for on the line plot. What was the LEAST amount of snow accumulated in a day? Least tells us to look for the lowest amount that has an above it. Here is the lowest recorded snowfall amount. Since there is not a fraction listed, we are going to have to solve for this amount. To solve, count how many increments the line is divided into. The line plot is divided into eighths... Let's show all the equivalent fractions on the line plot grouped by eighths to make it easier to answer the questions. One-eighth, Two-eighths, three-eighths, four-eighths, five-eighths, six-eighths, seven-eighths, and eight-eighths. This first place has the value of one-eighth. What was the GREATEST amount of snowfall in a day? Greatest tells us to look at the highest amount on the line. The greatest amount of snowfall in a day was seven-eighths of a foot. What is the DIFFERENCE in the amount of snow between the greatest and the least? Difference means to subtract, so we will take one-eighth away from seven-eighths. What is seven-eighths minus one-eighth? Six-eighths. Six-eighths can be simplified to three-fourths by dividing the numbers by two. Six-eighths is the same as three-fourths of a foot. The difference between the least and greatest is three-fourths of a foot of snow. What is the combined amount of snow for the days with less than half a foot of snow accumulation? Combined means we need to add…. and days with less than half a foot tell us which fractions we need to use. Looking at the line plot, which fractions are less than one-half? Remember fourth-eighths is equivalent to one-half... so we will use these fractions to add. There is one over one-eighth so, we will put that number here. There are two over three-eighths and we will add that fraction, TWICE. What is one-eighth, plus three-eighths, plus three-eighths? (...) Seven-eighths. The combined amount of snow for these days was seven-eighths of a foot. How many days did it snow altogether? We know that the stand for a day, so how do we solve this problem? We need to add all the< x’s> in the line plot. How many days of snowfall were there? There are ten , so there were ten days of snowfall. Remember (...) We can solve addition and subtraction problems based on information in line plots. Carefully read the question and look for keywords that will tell you what operation to do using different parts of the number line. Keep in mind, some problems may have MULTIPLE steps. "There were TEN DAYS OF SNOW!" “ You almost got me that time, Nari!”

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## Fractions on Line Plots exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Fractions on Line Plots.
• ### Nari needs your help.

Hints

What is the first step for answering questions about fractions on a line plot?

What is the last step for answering questions about fractions on a line plot?

Solution
• Plot data on the line plot.
• Read questions and identify keywords that tell you what to look for on the line plot.
• Count how many increments the line is divided into if the fraction is not listed on the line plot.
• Simplify fractions as necessary.
• ### There is a lot of snow!

Hints

What does greatest amount of snow accumulation mean?

Which fraction on the line plot represents the most snowfall accumulation?

Make sure to simplify the fraction.

Solution
• The greatest amount of snowfall accumulated in a day was $\frac{8}{8}$.
• $\frac{8}{8}$ is simplified to 1.
• The answer is 1 foot.
• ### Find the difference.

Hints

What does difference mean?

Solution
• Difference means to subtract so you need to find the fractions on the line plot that represent the least and greatest amount of snowfall accumulation and subtract them.
• $\frac{1}{8}$ is the least.
• $\frac{8}{8}$ is the greatest.
• $\frac{8}{8}$ - $\frac{1}{8}$ is $\frac{7}{8}$.
• The answer is $\frac{7}{8}$.
• ### Nari needs to combine fractions.

Hints

Simplify the fractions on the line plot to figure out which fractions are less than $\frac{1}{4}$.

What does combine mean?

Solution
• Combine means to add so you need to add the fractions that represent less than $\frac{1}{4}$ of a foot of snow on the line plot.
• $\frac{1}{8}$ is less than $\frac{1}{4}$ of a foot of snow.
• You add $\frac{1}{8}$ two times since there are two Xs above $\frac{1}{8}$ on the line plot.
• $\frac{1}{8}$ + $\frac{1}{8}$ = $\frac{2}{8}$
• $\frac{2}{8}$ is simplified by dividing the numbers by 2.
• The answer is $\frac{1}{4}$.
• ### Nari plots snowfall accumulation.

Hints

Which data point on the line plot illustrates the least amount of snowfall accumulation?

Which data point on the line plot illustrates the most amount of snowfall accumulation?

Solution

The image pictured illustrates the fractions in order from least to greatest on the line plot.

• ### Nari has a tough problem to solve.

Hints

What does combine tell you to do?

What does the difference tell you to do?

• $\frac{1}{8}$ + $\frac{1}{8}$ = $\frac{2}{8}$
• $\frac{8}{8}$ - $\frac{2}{8}$ = $\frac{6}{8}$
• Finally, you need to simplify $\frac{6}{8}$ since 6 and 8 can be divided by 2.
• The answer is $\frac{3}{4}$.